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  • High-Order Cell-Centered Lagrangian Spectral Volume Method on Curvilinear Meshes

    Lintao Huang, Wenhua Ma, Shuaikang Wang, Yibing Chen
    2025-09-05
    3887 409 Pages:1089-1129
  • Relaxation Schemes for Entropy Dissipative Systems of Viscous Conservation Laws

    Tuowei Chen, Jiequan Li
    2025-09-05
    3802 363 Pages:953-986
  • High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows

    Zhen Gao, Shuang Guo, Bao-Shan Wang, Yaguang Gu
    2024-10-09
    15738 1274 Pages:781-820
  • Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models

    Tianwei Yu, Roman Fuchs, Ralf Hiptmair
    2024-10-09
    15853 1321 Pages:581-617
  • Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

    Gabriella Puppo, Matteo Semplice, Giuseppe Visconti
    2024-07-29
    26958 1831 Pages:30-70
  • High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

    Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu
    2024-07-29
    28124 2049 Pages:1-29
  • Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations

    Rik Verbiest, Julian Koellermeier
    2025-09-02
    10364 571 Pages:810-848
  • A Finite Volume Scheme for Three-Dimensional Diffusion Equations

    Xiang Lai, Zhigiang Sheng, Guangwei Yuan
    2018-04-03
    39494 3139 Pages:650-672
  • Three-Dimensional Lattice Boltzmann Flux Solver and Its Applications to Incompressible Isothermal and Thermal Flows

    Yan Wang, Chang Shu, Chiang Juay Teo, Jie Wu, Liming Yang
    2018-04-03
    40041 3169 Pages:593-620
  • A Multilevel Numerical Approach with Application in Time-Domain Electromagnetics

    Avijit Chatterjee
    2018-04-02
    37733 3082 Pages:703-720
  • Assessment of Heat Flux Prediction Capabilities of Residual Distribution Method: Application to Atmospheric Entry Problems

    Jesús Garicano Mena, Raffaele Pepe, Andrea Lani, Herman Deconinck
    2018-04-02
    37874 3090 Pages:682-702
  • A Comparative Study of LBE and DUGKS Methods for Nearly Incompressible Flows

    Peng Wang, Lianhua Zhu, Zhaoli Guo, Kun Xu
    2018-04-02
    38437 3142 Pages:657-681
  • Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes

    Jun Zhu, Jianxian Qiu
    2012-11-01
    42586 4219 Pages:985-1005
  • Balanced Monitoring of Flow Phenomena in Moving Mesh Methods

    A. van Dam, P. A. Zegeling
    2010-07-01
    41425 4313 Pages:138-170
  • A Physics-Wise Splitting Preconditioner with Selective Relaxation for the Multi-Group Radiation Diffusion Equations in Three Dimensions

    Xiaoqiang Yue, Junbai Hou, Long Yuan, Xiaowen Xu, Shi Shu
    2025-08-08
    4651 477 Pages:467-490
  • Low-Dissipation Central-Upwind Schemes for Elasticity in Heterogeneous Media

    Alexander Kurganov, Zepei Liu, Michael Pollack, Ruixiao Xin
    2025-07-11
    5279 635 Pages:156-180
  • An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions

    Junlei Mu, Congshan Zhuo, Qingdian Zhang, Sha Liu, Chengwen Zhong
    2024-04-10
    24803 2133 Pages:662-692
  • Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver

    Jingfeng Wang, Guanghui Hu
    2024-04-10
    24702 2299 Pages:579-608 Open-access
  • Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations

    Yangyang Cao, Alexander Kurganov, Yongle Liu
    2023-11-08
    30700 2645 Pages:993-1042
  • Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence

    Yuan Gao, Jian-Guo Liu
    2023-08-14
    33224 3389 Pages:132-172
  • A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System

    Xi Chen, Alexander Kurganov
    2023-06-06
    37730 2803 Pages:1432-1465
  • High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes

    Yizhou Lu, Jun Zhu, Shengzhu Cui, Zhenming Wang, Linlin Tian, Ning Zhao
    2023-06-06
    42406 3167 Pages:1217-1239
  • Adaptive Multi-Resolution Method for 3D Reactive Flows with Level Set Front Capturing

    Wenhua Ma, Dongmi Luo, Wenjun Ying, Guoxi Ni, Min Xiao, Yibing Chen
    2023-04-28
    32697 2970 Pages:849-883
  • Well-Balanced Central Scheme for the System of MHD Equations with Gravitational Source Term

    Farah Kanbar, Rony Touma, Christian Klingenberg
    2022-09-29
    40949 3164 Pages:878-898
  • Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions

    Xiaoqiang Yue, Jianmeng He, Xiaowen Xu, Shi Shu, Libo Wang
    2022-09-29
    41791 3334 Pages:829-849
  • A General Improvement in the WENO-Z-Type Schemes

    Ruo Li, Wei Zhong
    2022-05-06
    45155 3283 Pages:1362-1401
  • Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme

    Yifan Xia, Jianjing Zheng, Jianfeng Zou, Jifa Zhang, Gaofeng Wang, Yao Zheng
    2022-01-27
    42785 3288 Pages:626-644
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